Question

check if the real roots of the following quadratic equations exist 3x²-4x+4=0​

Answer 1

Answer:

Given equation is 3x² - 4x +3=0 To find, the nature of the roots of the

equation

An equation is said to have

(i) two distinct and real roots if the

discriminant b² - 4ac > 0

(ii) equal real roots if b² - 4ac=0

(iii) no real roots or imaginary roots if b² 4ac < 0

In the given equation a = 3, b = -4, c = 3 Hence the discriminant is (-4)² —

4(3) (3) 1636 = -20 <0 =

Therefore the roots of the given equation are imaginary in nature.

Answer 2

Step-by-step explanation:

Given the mean of 10 ,12 , 18 , 13 , P and 17 is 15

Mean =

n

Σx

15=

6

10+12+18+13+P+17

90=70+P

P=90−70=20cm